Skip to content

Main content

Arch Intrados Extrados Radius Gap Tool

Radial thickness between supplied concentric arch surfaces, with an explicit signed measurement correction.

Loading tool…

Description

Return nominal and offset-corrected arch-ring thickness.

Architectural curves, stairs and roof planes can be described by ideal radii, angles, linear slopes and reference heights. Arc length differs from chord length, and a plan diagonal differs from a sloping member’s length. These local geometry terms do not evaluate structural capacity or building requirements.

Return nominal and offset-corrected arch-ring thickness.

When to use this tool

Use Arch Intrados Extrados Radius Gap when checking the stated ideal curve, tread, slope or reference-plane term.

How to use the tool and how it works

  1. Enter intrados, extrados, measurementOffset. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read nominalThickness, correctedThickness. Use the output convention below.

Return nominal and offset-corrected arch-ring thickness. Require 0 <= intrados <= extrados; nominal = extrados-intrados, corrected subtracts measurementOffset.1

Input fieldMeaning and unitsAccepted input
intradosIntradosRequired. Finite number; minimum 0.
extradosExtradosRequired. Finite number.
measurementOffsetMeasurement OffsetRequired. Finite number.
Output fieldInterpretationReturned shape
nominalThicknessNominal ThicknessRequired. Finite number.
correctedThicknessextrados-intrados-measurementOffset; may be negative.Required. Finite number.
json
{
  "input": {
    "intrados": 2,
    "extrados": 2.5,
    "measurementOffset": 0.1
  },
  "output": {
    "nominalThickness": 0.5,
    "correctedThickness": 0.4
  }
}

Limitations and assumptions

  • Corrected thickness may be negative; radii, measurement correction and structural adequacy are not verified.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use a complete spatial design, verified dimensions and qualified professional review for structural, accessibility and construction decisions.

References

  1. Calculation and input contract: architecture/arch-intrados-extrados-radius-gap — tool.io

Similar or alternative tools